(Solved): Question 4 (11 marks): The coordinate axes in Figure 2 run through the centroid of a solid wedge p ...

Question 4 (11 marks): The coordinate axes in Figure 2 run through the centroid of a solid wedge parallel to the labelled edges. If the values of \( a=6, b=6 \) and \( c=4 \), show that the equation of the plane at the top of the wedge is \( 24 y+36 z-48=0 \). Hence, find the moment of inertia with respect to \( x \)-axis, \( I_{x}=\iiint\left(y^{2}+z^{2}\right) d z d y d x \)